document.write( "Question 852267: Find all solutions of each of the equations in the interval (0, 2pi)
\n" ); document.write( "cos(x- pi/2) + sin^2x=0 \n" ); document.write( "
Algebra.Com's Answer #513339 by lwsshak3(11628)\"\" \"About 
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Find all solutions of each of the equations in the interval (0, 2pi)
\n" ); document.write( "cos(x- pi/2) + sin^2x=0
\n" ); document.write( "***
\n" ); document.write( "cos(x-π/2)=cosx*cos(π/2)+sinx*sin(π/2)=cosx*0+sinx*1=sinx
\n" ); document.write( "sinx+sin^2x=0
\n" ); document.write( "sinx(1+sinx)=0
\n" ); document.write( "sinx=0
\n" ); document.write( "x=π
\n" ); document.write( "or
\n" ); document.write( "sinx=-1
\n" ); document.write( "x=2π/3 \n" ); document.write( "
\n" );